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Pith Number

pith:DW2ZZH3S

pith:2005:DW2ZZH3SPNV4Z3G6VFXHFEC2KU
not attested not anchored not stored refs pending

Quantum spin systems at positive temperature

Lincoln Chayes, Marek Biskup, Shannon Starr

arxiv:math-ph/0509017 v2 · 2005-09-11 · math-ph · cond-mat.stat-mech · math.MP · math.OA · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DW2ZZH3SPNV4Z3G6VFXHFEC2KU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T04:08:43.353220Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1db59c9f727b6bccecdea96e72905a553f0562b503e37f25ee60566cb9411723

Aliases

arxiv: math-ph/0509017 · arxiv_version: math-ph/0509017v2 · doi: 10.48550/arxiv.math-ph/0509017 · pith_short_12: DW2ZZH3SPNV4 · pith_short_16: DW2ZZH3SPNV4Z3G6 · pith_short_8: DW2ZZH3S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DW2ZZH3SPNV4Z3G6VFXHFEC2KU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1db59c9f727b6bccecdea96e72905a553f0562b503e37f25ee60566cb9411723
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5a3fb8be8a2430f80e5d0f33048cea9a96c3812156fdc0081c0c0243fc7c91e5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-09-11T00:11:02Z",
    "title_canon_sha256": "324e23d8d281217bfb7d4c3c16e20693fabc6d6f7279a6ce429c4246ffb31ac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0509017",
    "kind": "arxiv",
    "version": 2
  }
}